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Let the vectors vec(PQ),vec(QR),vec(RS),...

Let the vectors `vec(PQ),vec(QR),vec(RS), vec(ST), vec(TU)` and `vec(UP)` represent the sides of a regular hexagon.
Statement I:`vec(PQ) xx (vec(RS) + vec(ST)) ne vec0`
Statement II: `vec(PQ) xx vec(RS) = vec0` and `vec(PQ) xx vec(RS) = vec0` and `vec(PQ) xx vec(ST) ne vec0`
For the following question, choose the correct answer from the codes (A), (B) , (C) and (D) defined as follows:

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly, `vec(RS)+vec(ST)=vec(RT)` which is not parallel to `vec(PQ)`
`:.vec(PQ)xx(vec(RS)+vec(ST))!=vec0`
So statement -1 is true.
Also, `vec(PQ)` is not parallel to `vec(RS)`

`:.PQxxvec(RS)!=vec0`
So, statement -2 is not true.
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